A runner completes \frac{2}{5} of a mile as a warm-up and then runs another \frac{1}{3} of… — Armed Services Vocational Aptitude Battery (ASVAB)

A runner completes $\frac{2}{5}$ of a mile as a warm-up and then runs another $\frac{1}{3}$ of a mile. What is the total distance, in miles, the runner covered?

$\frac{11}{15}$ Cevap
B
$\frac{3}{8}$
C
$\frac{2}{15}$
D
$\frac{1}{5}$

Cevap

\frac{11}{15}

To find the total distance, the fractions must be added. Since they have unlike denominators (5 and 3), the lowest common denominator (15) must be found. Converting the fractions yields

\frac{6}{15}

and

\frac{5}{15}

. Adding the numerators provides the final total of

\frac{11}{15}

Adım Adım Çözüm

Identify the operation needed.

Addition:

\frac{2}{5} + \frac{1}{3}

The question asks for the total distance covered, requiring the sum of the two distinct parts of the run.

Find a common denominator for 5 and 3.

The lowest common multiple of 5 and 3 is 15.

Fractions must have a common denominator before they can be added together.

Convert both fractions to have a denominator of 15.

\frac{2}{5} = \frac{6}{15}

and

\frac{1}{3} = \frac{5}{15}

To maintain the same value, multiply the numerator and denominator of the first fraction by 3, and the second fraction by 5.

Add the numerators and keep the common denominator.

\frac{6}{15} + \frac{5}{15} = \frac{11}{15}

Once denominators are the same, only the numerators are added to find the total.

Anahtar Kavram

Adding Fractions with Unlike Denominators

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru